Topological and Symbolic Dynamics for Axiom A Diffeomorphisms with Holes
S. Bundfuss, T. Krueger, S. Troubetzkoy
Abstract
We consider an Axiom A diffeomorphism and the invariant set Ω of orbits which never falls into a fixed hole. We study various aspects of the complexity of the symbolic representation of Ω. Our main result are that each topologically transitive component of Ω is coded and that typically Ω is of finite type.
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